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Haslinger, Jaroslav ; Horák, Václav
On identification of critical curves. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 169-177
MSC: 35J25, 35J99, 49J20, 49K40, 74G99, 74H99 | MR 1052737 | Zbl 0721.49005 | DOI: 10.21136/AM.1990.104400
Keywords:
critical curves; mixed elliptic boundary value problem; sensitivity analysis; mass movement problems; stability analysis
Summary:
The paper deals with the problem of finding a curve, going through the interior of the domain $\Omega$, accross which the flux $\partial u/\partial n$, where $u$ is the solution of a mixed elliptic boundary value problem solved in $\Omega$, attains its maximum.
Related articles:
Identification of critical curves. II. Discretization and numerical realization
References:
[1] J. Nečas: Les méthodes directes en théorie des equations elliptiques. Academia, Praha, 1967. MR 0227584
[2] J. Haslinger P. Neittaanmäki: Finite Element Approximation for Optimal Shape Design: Theory and Applications. John Wiley & Sons, 1988. MR 0982710
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